TY - JOUR
T1 - A linear optimization of dual-tree complex wavelet transform
AU - Kyochi, Seisuke
AU - Shimizu, Takafumi
AU - Ikehara, Masaaki
PY - 2011/6
Y1 - 2011/6
N2 - In this paper, a linear optimization of the dual-tree complex wavelet transform (DTCWT) based on the least squares method is proposed. The proposed method can design efficient DTCWTs by improving the design degrees of freedom and solving the least square solution iteratively. Because the resulting DTCWTs have good approximation accuracy of the half sample delay condition and the stopband attenuation, they provide precise shift-invariance and directionality. Finally, the proposed DTCWTs are evaluated by applying to non-linear approximation and image denoising, and showed their effectiveness, compared with the conventional DTCWTs.
AB - In this paper, a linear optimization of the dual-tree complex wavelet transform (DTCWT) based on the least squares method is proposed. The proposed method can design efficient DTCWTs by improving the design degrees of freedom and solving the least square solution iteratively. Because the resulting DTCWTs have good approximation accuracy of the half sample delay condition and the stopband attenuation, they provide precise shift-invariance and directionality. Finally, the proposed DTCWTs are evaluated by applying to non-linear approximation and image denoising, and showed their effectiveness, compared with the conventional DTCWTs.
KW - Directionality
KW - Dual-tree complex wavelet transform
KW - Half sample delay condition
KW - Least squares method
KW - Shift invariance
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U2 - 10.1587/transfun.E94.A.1386
DO - 10.1587/transfun.E94.A.1386
M3 - Article
AN - SCOPUS:79957987466
VL - E94-A
SP - 1386
EP - 1393
JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
SN - 0916-8508
IS - 6
ER -